If V¯A=3i^+2j^m/s , if the velocity of B w.r.t. A is −2i^−j^ m/s . What is the velocity of B.

V¯B−V¯A=−2i^−j^ V¯B=V¯A−2i^−j^ =3i^+2j^−2i^−j^ =i^+j^

If V¯A=3i^+2j^m/s , if the velocity of B w.r.t. A is −2i^−j^ m/s . What is the velocity of B.

V¯B−V¯A=−2i^−j^ V¯B=V¯A−2i^−j^ =3i^+2j^−2i^−j^ =i^+j^

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If ${\bar{V}}_{A} = (3 \hat{i} + 2 \hat{j}) m / s$ , if the velocity of B w.r.t. A is $(- 2 \hat{i} - \hat{j}) m / s$ . What is the velocity of B.

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$(\hat{i} + \hat{j}) m / s$

$(\hat{i} - \hat{j}) m / s$

$(2 \hat{i} + 3 \hat{j}) m / s$

$(2 \hat{i} + \hat{j}) m / s$

answer is A.

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$\begin{array}{rcl} {\bar{V}}_{B} - {\bar{V}}_{A} & = & - 2 \hat{i} - \hat{j} \\ {\bar{V}}_{B} & = & {\bar{V}}_{A} - 2 \hat{i} - \hat{j} \\ = & 3 \hat{i} + 2 \hat{j} - 2 \hat{i} - \hat{j} \\ = & \hat{i} + \hat{j} \end{array}$

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If V¯A=3i^+2j^m/s , if the velocity of B w.r.t. A is −2i^−j^ m/s . What is the velocity of B.

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If ${\bar{V}}_{A} = (3 \hat{i} + 2 \hat{j}) m / s$ , if the velocity of B w.r.t. A is $(- 2 \hat{i} - \hat{j}) m / s$ . What is the velocity of B.